Home
Class 12
MATHS
If a x+b/xgeqc for all positive x where ...

If `a x+b/xgeqc` for all positive `x` where `a ,\ b ,\ >0` , then `a b<(c^2)/4` (b) `geq(c^2)/4` (c) `a bgeqc/4` (d) none of these

A

`ablt(c^(2))/(4)`

B

`abge(c^(2))/(4)`

C

`abge(c)/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|8 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|4 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If ax+b/x >= c for all positive x, where a, b, c > 0, then-

If ax+b/x >= c for all positive x, where a, b, c > 0, then-

If a x^2+b/xgeqc for all positive x where a >0 and b >0, show that 27 a b^2geq4c^3dot

If a x^2+b/xgeqc for all positive x where a >0 and b >0, show that 27 a b^2geq4c^3dot

If x^a=y^b=c^c , where a,b,c are unequal positive numbers and x,y,z are in GP, then a^3+c^3 is :

Assuming that x is a positive real number and a ,\ b ,\ c are rational numbers, show that: ((x^a)/(x^b))^(1/(a b))\ ((x^b)/(x^c))^(1/(b c))\ \ ((x^c)/(x^a))^(1/(a c))=1

Assuming that x is a positive real number and a ,\ b ,\ c are rational numbers, show that: ((x^a)/(x^b))^(a+b)\ ((x^b)/(x^c))^(b+c)((x^c)/(x^a))^(c+a)=1

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.